Chapter 3: Exponents and Polynomials
Numbers in the Real World

Sale Prices


You've probably been to a clearance sale at a clothing store at some point in your life.  When the store advertises a percent discount, how do you compute how much you'll have to pay?

Let's look at an example.  A particular store is advertising that all dresses are 20% off their original price.  If you bought a dress on sale that originally cost $100, your sales receipt would look something like this.
 

House of Fashions
where you dress for success for less 
item price
original price of dress $100.00
less discount of 20% -$20.00
sale price of dress $80.00
tax of 7% $5.60
TOTAL $85.60
 
Why do you think stores prefer to list the original price, the discount, and the sale price as opposed to just listing the sale price?

If the sale price is 20% off of the original price, what percent of the original price are you paying?
How could you use this result to find the sale price of the dress?

Use this result to find the sale price of dresses that cost $80.
Find the sale price of dresses that cost $65.
Find the sale price of dresses that cost $22.

If a dress costs $72.49, use estimation to find the approximate sale price.
Compute the actual sale price. How much difference is there between the actual and your approximation?
Is the difference significant with respect to the actual price?


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